Two buses, bus A and bus B, both use the same bus stop. Bus A runs every 10 minutes. Bus B runs every 14 minutes. Both buses are at the bus stop at 11 am. What time will both buses next both be at the bus stop. (3 marks)

Use HCF and LCM skills to work out your answer. ​

The property represented by the expression is the property of zero.

We are given an expression:

(4 y + 1) × 0 = 0

We need to tell which property is this.

The property that is used is called the property of zero. In this, it states that whenever a number is multiplied by 0, the answer or the result will always be zero.

For example: 3 × 0 = 0, 4 × 0 = 0, M × 0 = 0 or P × 0 = 0.

It does not matter whether a constant or a variable is multiplied with it, the result of the multiplication will always be zero.

Therefore, the property represented by the expression is the property of zero.

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From the inequality given by -2w < 24, w is greater than -12.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

Solving the inequality,

-2w < 24

Making sure the unknown variable is in one side and the constants in the other side.

-2w < 24

Divide both sides by -2, the coefficient beside the unknown variable,

(-2/-2)w < 24/-2

w < -12

Note that when we multiply or divide by a negative number

we must reverse the inequality.

w < -12 ⇒ w > -12

Therefore, w is greater than -12.

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The population mean of the data is 6.

The population has n = 16 scores.

The sum of all of the scores is equal to 96.

Therefore, the population mean can be found as follows:

The population mean is the mean or average of all values in the given population.

The population mean is represented mathematically as follows:

population mean = sum of terms / number of terms

Therefore,

sum of terms = 96

number of terms = 16

Hence,

population mean =  = 96 / 16

population mean =  6

Therefore, the population mean of the data is 6.

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Answer:

-3, 0, 3

Step-by-step explanation:

The domain is the set of all x values

an invertible sheaf l on x is globally generated if and only if for any point p ∈ x, there is a global section of l not vanishing at p

This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.

Vanishing means to leave or cease existing, especially in an abrupt or unexpected manner.

I be a quasicompact sheaf that can be inverted. X

demonstrate the existence of an epimorphism O ⊕I/X →I

OX⊕I→I if and only if for any point p∈X

p∈X there exists a global section of I

L not vanishing at p

If there is an epimorphism, it is asserted on page 121 of Hartshorne's book O ⊕I/X→I

OX⊕I→I Afterward, a family of global parts exists

{si} i∈I

{si}i∈I of I

I such that Ip is generated by {si,}i∈I

{si,p}i∈I as O

X,p

OX,p-module for every p∈X

This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.

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The p-value is  0.1505 and y is 0.550x1 + 3.600x2 + 7.300.

So,

Given:

Study Hours GPA ACT Score

Using technology, the P-value from the Fratio:

The regression equation's P-value is:

Using the Fratio calculator's Value:

Using the P-value method:

As a result, we cannot reject H0 and conclude that; there is insufficient evidence to demonstrate that the relationship is statistically significant.

The regression formula:

The predictor variables are x1 and x2.

Therefore, the p-value is  0.1505 and y is 0.550x1 + 3.600x2 + 7.300.

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The complete question is given below:
The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1)is the number of hours spent studying, and the second independent variable (x2) is the student's GPA

Effects on ACT Scores

Study Hours GPA ACT Score

5 4 27

5 2 18

5 3 18

1 3 20

2 4 21

Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.

Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.

Answer:

Replace y with f−1(x) f - 1 ( x ) to show the final answer. Verify if f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7

Step-by-step explanation:

Answer:

7.6. Good luck

Hello,

[tex] \frac{1}{4} \times- \frac{1}{2} = \frac{1 \times (-1)}{4 \times 2} = - \frac{1}{8} [/tex]

Answer:

wsg

Step-by-step explanation:

Answer:

Step-by-step explanation:

need help on what

The water level increases by 2 inches each hour.

The points on the graph are given as

(1, 2), (2, 4), and (3, 6)

Next, we calculate the slope of the line, as follows:

Slope = [y2 - y1]/[x2 - x1]

So, we have

Slope = [4 - 2]/[2 - 1]

Evaluate the quotient

Slope = 2

The above means that, the water level increases by 2 inches each hour.

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Answer:

Step-by-step explanation:

[tex]y=k/x^{2}[/tex]

when y=4, x=5. Therefore:

[tex]4=k/5^2[/tex]

[tex]k=100\\[/tex]

If  [tex]k=100, x=10 \\[/tex]

then [tex]y=100/10^2[/tex]

y=1

Answer:

The value of x when y = 9 is x = 2 or x = -2

Step-by-step explanation:

Given that value of y varies inversely as the square of x, and y=4, when x=3.

Therefore the initial statement is:

[tex]y x \frac{1}{x^{2} }[/tex]

The shape of the distribution for the following set of data is: symmetrical.

When we study data, one of the major ways to understand it is to think about its general form, such as whether it is symmetrical, has more numbers on one side than the other, or fits a common probability distribution like the normal, binomial, or exponential.

Now,

Hence, The shape of the distribution for the following set of data is: symmetrical.

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Answer:

Yes

Step-by-step explanation:

If she writes 8 pages a day for 4 days a week, in the first week, she will have already written 32 pages which she would only need one more day.

4 x 8 = 32

32 + 8 = 40

That gives her time to edit and revise :)

Hope this makes sense

Answer:

<E

Step-by-step explanation:

The points need to be in order.  P is the second to the last on the list and so is E.

The original price of the table set was $400.

Customers are given discounts by shop owners in order to increase sales. A discount is a rebate or offer created to consumers on the listed price of goods.

Now, as per the given question;

The paid price by Maria is $240 called selling price.

The total discount on the table set was 40%.

Let us consider the original price/marked price of the table set was 'x'.

Then the formula for calculating the original price/market price is;

Marked price - discount = selling price

x - 40%of x = 240

x - (40x)/100 = 240

100x - 40x = 24,000

60x = 24,000

x = 400

Therefore, the original price of the table set was $400.

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Answer: 4,500+50g=6,000

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

-(10 + (-6)) - ((-55) + 1 - 2)

(-10 + 6) + (55 - 1 + 2)

(-4) + (56) = 52

I hope this helps!

Remember that a point's y-absolute coordinate's value determines how far away it is from the x-z plane.

With an example, define a plane?

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Answer:

b. 4

Step-by-step explanation:

A negative number divided by a negative number is a positive number.

Therefore, -12 ÷ -3 = 4.

Answer:

A=54in squared.

Step-by-step explanation:

To answer this you need to know two numbers which in this case is 9 and 12. 12 will be called the Base for now and 9 the height. and they you multiply them together to get 108 but it is like a triangle next you need to half the number so half of 108 is 54.

there are also many different calculators that all you need to do is input the numbers and it will tell you I hope this is helpful to you and that you will get the right answer.

The slope of the given function is not constant therefore it will not be a linear function so option (A) will be correct.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

Given the data table,

If we take its point as coordinate then (1,6),(6,27),(11,50)(13,56) and (16,70).

Slope associated with two points (1,6), (6,27)

(27 - 6)/(6 - 1) = 4.2

Now Slope is associated with two points(6,27),(11,50)

(50 - 27)/(11 - 6) = 4.6

Since the slope is not the same therefore given function is not the linear function because the linear function has a constant slope.

Hence "The slope of the given function is not constant therefore it will not be a linear function".

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The coordinates of S are (-4,2) .

The sails' center of rotation = Origin (0,0)

Coordinates of S on the top of one of the sails, = (2,4)

The action or process of rotating on or as if on an axis or center.

The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.

It is given that sails have rotated 270° clockwise.

So, When we rotate a figure of 270 degree clockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.

So, the point  turn (2, 4) into (-4, 2).

Thus, the coordinates of S are (-4,2).

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Answer:

5,004,300

Step-by-step explanation:

just copy and paste the one on the bottom 5,004,300

Answer:

63%

Step-by-step explanation:

To write a decimal as a percentage, you simply multiply it by 100. 0.63 * 100 is 63, so your final answer would be 63%.

FINAL ANSWER: 63%

Answer:

thanks for the points x

Step-by-step explanation:

thanks

so if you take 60 by x and The sides of an octagon which is 8 you should have your answer

First, we'll have to find the radius.

[tex]\large\boxed{\bold{r= \frac{d}{2}}}[/tex]

[tex]r= \frac {6}{2}[/tex]

[tex]r= 3 \ cm[/tex]

Now, we can workout the volume.

Instead of π, we are asked to use 3.

[tex]\large\boxed{\bold{\red \pi \red = \ \red 3}}[/tex]

[tex]\large\boxed{\bold{V= \ \frac{4}{3} \pi {r}^{3}}}[/tex]

Now, substitute the values according to the formula.

[tex]V= \ \frac{4}{3} × 3 × {3}^{3}[/tex]

[tex]\large\boxed{\bold{V= \ 108 \ {cm}^{3}}}[/tex]

The answer is a whole number so you won't have to round off.

Therefore, the volume of the given sphere is 108 cubic centimeters.